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2 articles for “Finite Fields”
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Algebraic Foundations of AES (Advanced Encryption Standard): Group Theory and Finite Field Applications in Symmetric Cryptography
Abstract: This paper presents a mathematical study of symmetric cryptographic algorithms, with a particular emphasis on the Advanced Encryption Standard (AES), which is one of the most widely used encryption schemes in modern security applications. The study highlights how abstract mathematical frameworks such as group theory, finite fields, and vector space concepts provide the foundation for the design, implementation, and analysis of AES. By approaching the algorithm from a mathematical perspective, …
Published in Recent Trends in Mathematics · Vol. 2, Issue 1, 2025 · pp. 12–16 Read article
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Advancements in Plant Molecular Biology and Genetics: Insights into Genetic Engineering, Genomics, and Crop Improvement
Abstract: This comprehensive review explores the rapidly advancing fields of plant molecular biology and genetics, offering a thorough examination of contemporary research and innovative methodologies that contribute to a deeper understanding of plant development, improved crop productivity, and the mitigation of environmental challenges. Recent breakthroughs in genetic engineering, genomics, and transcriptomics are thoroughly analyzed to provide valuable insights into their practical applications for sustainable agriculture. The integration of cutting-edge tools and …
Published in International Journal of Trends in Horticulture · Vol. 2, Issue 1, 2025 · pp. 25–27 Read article